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Finding the Fourth Proportional to 994.17, 1,491.84 and 417

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Solution

The fourth proportional to 994.17, 1,491.84 and 417 is: 625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.17 : 1,491.84 = 417 : x
  2. Step 2: Convert to fraction form
    994.17/1,491.84 = 417/x
  3. Step 3: Cross multiply
    994.17x = 1,491.84 × 417
  4. Step 4: Simplify right side
    994.17x = 622,097.28
  5. Step 5: Solve for x
    x = 622,097.28/994.17
  6. Step 6: Final answer
    x = 625.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.